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Simplifying -6v + 18 = -6(2v + 1) Reorder the terms: 18 + -6v = -6(2v + 1) Reorder the terms: 18 + -6v = -6(1 + 2v) 18 + -6v = (1 * -6 + 2v * -6) 18 + -6v = (-6 + -12v) Solving 18 + -6v = -6 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 18 + -6v + 12v = -6 + -12v + 12v Combine like terms: -6v + 12v = 6v 18 + 6v = -6 + -12v + 12v Combine like terms: -12v + 12v = 0 18 + 6v = -6 + 0 18 + 6v = -6 Add '-18' to each side of the equation. 18 + -18 + 6v = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 6v = -6 + -18 6v = -6 + -18 Combine like terms: -6 + -18 = -24 6v = -24 Divide each side by '6'. v = -4 Simplifying v = -4
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